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Finding the Third Proportional to 382,689 and 835,326

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Solution

The third proportional to 382,689 and 835,326 is: 1,823,333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,689 : 835,326 = 835,326 : x
  2. Step 2: Convert to fraction form
    382,689/835,326 = 835,326/x
  3. Step 3: Cross multiply
    382,689x = 835,326 × 835,326
  4. Step 4: Simplify right side
    382,689x = 697,769,526,276
  5. Step 5: Solve for x
    x = 697,769,526,276/382,689
  6. Step 6: Final answer
    x = 1,823,333.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.